Given Coordinates: x1 = -2 y1 = -1, x2 = 2 y2 = 3
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-2))2 + (3 − (-1))2
d = √(2 + 2)2 + (3 + 1)2
d = √42 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (-2, -1) and (2, 3) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-2))2 + (3 − (-1))2
d = √(2 + 2)2 + (3 + 1)2
d = √42 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (-2, -1) and (2, 3) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
